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Finding the Third Proportional to 57,069.75 and 88,713

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Solution

The third proportional to 57,069.75 and 88,713 is: 137,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069.75 : 88,713 = 88,713 : x
  2. Step 2: Convert to fraction form
    57,069.75/88,713 = 88,713/x
  3. Step 3: Cross multiply
    57,069.75x = 88,713 × 88,713
  4. Step 4: Simplify right side
    57,069.75x = 7,869,996,369
  5. Step 5: Solve for x
    x = 7,869,996,369/57,069.75
  6. Step 6: Final answer
    x = 137,901.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.